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SAT/ PSAT

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SOME INFORMATIONS  ABOUT SAT


                      Students may only use a calculator on the Subject Tests in Mathematics Level 1 and Mathematics Level 2. Both the Subject Test in Mathematics Level 1 and the Subject Test in Mathematics Level 2 have some questions that require the use of at least a scientific calculator. Students can take these tests without using a calculator, but it may put them at a disadvantage

 

SAT I Math Curriculum

as per The Official SAT  Study Guide

Number of questions in the mathematics section will be

v     Multiple choice questions :44

v     Student-produced response questions, to fill in a response: 10

Categories of questions:

 

1. Number and operations

2. Algebra and functions

3. Geometry and measurement

4. Data analysis, statistics and probability

 

 

 

 

 

1.Number and Operations

 

*       Properties of integers

*       Arithmetic word problems

*       Number lines

*       Squares and square roots

*       Fractions and rational numbers

*       Elementary number theory

      Factors, multiples, and remainders

      Prime numbers

*       Ratios, proportions, and percents

*       Sequences

*       Sets ( union, intersection, elements )

*       Counting problems

*       Logical reasoning

 

Note: The SAT doesn’t include a) tedious or long computations b) matrix operations

 

2. Algebra and Functions

 

*      Operations on algebraic expressions

*      Factoring

*      Exponents

*      Evaluating expressions with exponents and roots

*      Solving equations

 

         Working with unsolvable equations

         Solving for one variable in terms of another

         Solving equations involving radical expressions

*      Absolute value

*      Direct translation into mathematical expressions

*      Inequalities

*      Systems of linear equations and inequalities

*      Solving quadratic equations by factoring

*      Rational eccquations and inqualities

*      Direct and inverse variation

*      Word problems

*      Functions

         Function notation and evaluation

         Domain and range

         Using new definitions

         Functions as models

         ◦◦Linear functions: their equations and graphs

         Quadratic functions: their functions and graphs

         Qualitative behavior of graphs and functions

         Translations and their effects on graphs of functions

 

Note: The SAT doesn’t include

          a) Solving quadratic equations that require the use of the quadratic formula

          b) Complex numbers

          c) Logarithms

3. Geometry and Measurment

 

*      Geometric notation

*      Points and lines

*      Angles in the plane

*      Triangles ( including special triangles )

         Equilateral triangles

         Isosceles triangles

         Right triangles and the Pythagorean Theorem

         30-60-90 triangles

         45-45-90 triangles

         3-4-5 triangles

         Congruent triangles

         Similar triangles

         The triangle inequality

 

*      Quadrilaterals

         Parallelograms

         Rectangles

         Squares

*      Areas and perimeters

          Areas of squares and rectangles\

          Perimeters of squares and rectangles

          Area of triangles

          Area of parallelograms

 

*      Other polygons

         Angles in a polygon

         Perimeter

         Area

*       Circles

         Diameter

         Radius

         Arc

         Tangent to a circle

         Circumference

         Area

*      Solid geometry

         Solid figures and volumes

         Surface area

*      Geometric perception

*      Coordinate geometry

         Slopes, parallel lines, and perpendicular lines

         The midpoint formula

         The distance formula

 

*      Transformations

 

Note: The SAT doesn’t include a) Formal geometric proofs b) Trigonometry c) Radian measure.

 

4. Data Analysis, Statistics, and Probability

 

*      Data interpretation

*      Statistics

         Arithmetic mean

         Median

         Mode

         Weight average

         Average of algebraic expressions

         Using averages to find missing numbers

 

*            Elementary probability

*            Geometric probability

 

Note: The SAT doesn’t include

          Computation of standard deviation